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zaharov [31]
3 years ago
12

The statement 3+3=6 serves as a/an what to the conjecture that the sum of two odd numbers is an odd number

Mathematics
2 answers:
slega [8]3 years ago
6 0
A proposition states a fact.
If we can only find even a single one situation that satisfies all the conditions of the proposition, but which turns out to be false, it immediately invalidates the proposition.
This situation is an example of a "counter example".

If the proposition is odd+odd=odd, then
3+3=6 is a counter example of the proposition.
NeTakaya3 years ago
4 0

Answer:

The statement 3+3=6 serves as a/an <em>"contradiction"</em> to the conjecture that the sum of two odd numbers is an odd number.

Step-by-step explanation:

Consider the provided statement.

3+3=6

Here, we can observe that if we add two odd numbers we will get an even number. As shown in the above statement.

This is the property which helps us to conclude that sum of two odd numbers is always an even number.

You can take some example:

7+7=14

11+11=22

The conjecture is: The sum of two odd numbers is an odd number.

Which is a false.

Thus, the provided statement is contradictory to the conjecture because the sum of two odd numbers is not an odd number.

So, we can say that 3+3=6 serves as a/an contradiction to the conjecture that the sum of two odd numbers is an odd number.

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Step-by-step explanation:

Divide your number of pages by the minutes to calculate the unit rate.

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Identify the terminal point for a 30° angle in a unit circle.
Afina-wow [57]

Answer:

The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).

Step-by-step explanation:

4 0
2 years ago
A. Lin is using the diagram to prove the statement, "If a parallelogram has one
BigorU [14]

The congruence of the angles and triangles are proven as follows;

a. The composition angles of FGH are alternate interior angles to the composition angles of angle AHEF

b. The three sides of triangle ∆EHG are congruent to the three sides of triangle ∆GFE, therefore, triangles ∆EHG and ∆GFE are congruent by SSS congruency rule

<h3>What are congruent triangles?</h3>

The lengths of the three sides of triangles that are congruent.

a. The shape of quadrilateral EFGH = A parallelogram

The measure of angle HEF = 90°

Angle HEF = 90°

Angle HEF = Angle HED + Angle DEF

Angle HED is congruent to angle FGD (Alternate interior angles theorem)

Angle HED = angle FGD

Angle DEF is congruent to angle DGH (Alternate interior angles theorem)

Angle DEF = angle DGH

Angle FGH = Angle FGD + Angle DGH

Angle FGH = Angle HED + Angle DEF (Substitution property)

Angle FGH = Angle HEF (Transitive property)

Angle FGH = Angle HEF = 90°

Therefore, the statement that will help prove angle FGH is also a right is that angle FGH is the sum of angles FGD and angle DGH which are alternate interior angles to angles HED and DEF which makes up angle HEF, which is a right angle.

b. The two-column method can be used to prove that triangle EHG and triangle GFE are congruent as follows;

Statement. Reason

EF is congruent to HG. Opposite sides of a parallelogram are congruent

EH is congruent FG Opposite sides of a parallelogram are congruent

EG is congruent to EG Reflexive property of congruency

∆EHG is cong. to ∆GFE SSS, Side-Side-Side, congruency rule

Learn more about the triangle congruency rules here:

brainly.com/question/15338506

#SPJ1

4 0
11 months ago
Please me help me help me
Oksana_A [137]

Answer:

Its 60 degrees

Step-by-step explanation:

Opposite angles are equal so then CGE is the same as FGD and since angle CGB is a right angle we can subract the 30 from 90 and get a 60

6 0
2 years ago
Triangle ABC is congruent to triangle XYZ. Angle A measures 50 degrees, angle B measure 2x+40 degrees, and angle Z measures 4x+8
stiv31 [10]
Angle Z is congruent to angle C, so angle C measures 4x+8
the sum of the three angles of a triangle is 180, so 
50+2x+40+4x+8=180
6x++98=180
6x=82
x≈13.67
3 0
3 years ago
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